摘要
以Biot多孔介质理论为基础,考虑到材料物理力学特性沿土体厚度方向呈连续变化,采用不分层的WKBJ分析方法推导出非均匀饱和土中P-SV波的频散关系方程式,得出非均匀饱和土中P-SV波的近似解析解,同时给出它们的数值实现算法.通过数值算例,分析P-SV波在非均匀饱和土中传播的相关特性,通过参数分析研究P-SV波的频散关系变化规律,给出不同参数下P-SV波(相速度c-波数k)的频散曲线图.结果表明,在非均匀饱和土中,平面P-SV波的传播具有频散特性,且材料的非均匀程度以及土层厚度对其有显著的影响.
Based on Biot’s theory of porous media,the dispersion relation equations of P-SV wave in inhomogeneous saturated soil were derived by using WKBJ analysis method,in which the physical and mechanical properties of material were taken to vary continuously in the direction of soil thickness,the approximate analytic solution P-SV wave was obtained,and,meantime,its numeric realization algorithm was given out.The propagation characteristic of P-SV wave was analyzed in a numerical example.Moreover,the variation rule of dispersion relation of P-SV wave was investigated by means of parameter analysis and the dispersion curves of P-SV wave with various parameters(phase velocity c vs wave number k)were given out.The result shows that the propagation of plane P-SV wave in inhomogeneous saturated soil will have the characteristics of frequency dispersion and the inhomogeneity level of the material and the thickness of the saturated soil layer will have a remarkable influence on it.
作者
刘汉青
曹小林
任圆圆
LIU Han-qing;CAO Xiao-lin;REN Yuan-yuan(College of Civil Engineering,Lanzhou Univ.of Tech.,Lanzhou 730050,China;Shannxi College of Communication Technology,Xi’an 710018,China)
出处
《兰州理工大学学报》
CAS
北大核心
2018年第2期122-127,共6页
Journal of Lanzhou University of Technology
基金
国家自然科学基金(11162008
51368038)
甘肃省环境保护厅(GSEP-2014-23)
甘肃省省青年科技基金(1112RJZA022)
